Identify the following as Permutations, or Combinations (no need to solve). A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?

Question

BlackTom AI · Accepted Answer

Here is the task restated and each option considered in turn.

The question asks: Identify whether the scenario is a Permutations problem or a Combinations problem (no calculation required). A book club offers a choice of 8 books from a list of 40. How many ways can a member make a collection?

Option a: Permutation. This would be appropriate if the order in which the 8 books are chosen mattered. For example, selecting books A, B, C in that specific order would be different from B, A, C. Since the problem does not mention any ordering of the chosen books (only which titles are included in the collection), treating the 8 books as an ordered sequence would be inappropriate in this context.

Option b: Combination. This is used when the order of selection does not matter, only the subset of items chosen. Here, a collection is defined by which 8 titles are included, not by the sequence in which they are listed or read. Therefore, the scenario aligns with a combinations approach, where the number of ways is given by the binomial coefficient C(40, 8).

In summary, option a describes a situation where order would affect the count, which is not the case here, while option b describes the unordered selection that matches the problem statement. The distinction hinges on whether the arrangement order matters or not, and this problem treats the set of 8 books as an unordered collection.

Identify the following as Permutations, or Combinations (no need to solve). A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?单项选择题

类似问题

位置9的问题 The number of random samples (without replacement) of size 3 that can be drawn from a population of size 5 is 题库 1/1[input].

位置9的问题 The number of random samples (without replacement) of size 3 that can be drawn from a population of size 5 is 题库 1/1[input].

[math: 42C8]^{42}C_8 equals

Remember that a poker hand is 5 cards dealt from a regular deck of 52 cards. How may poker hands contain 2 clubs and 3 hearts? Enter the numeric value only. No symbols, no spaces.

What is the correct expansion of 134{"version":"1.1","math":"134"}?

The computer club has 14 members. There are 12 students and 2 teachers. There is a big archery conference on and the school can send 5 people to it.Please enter numeric answers only, no symbols, letters or spaces.How many ways can the club select 5 people to go to the conference?

How many routes can be formed go 3 blocks west and 4 blocks north, assuming you can only move in these directions?

How many ways to choose 2 books out of 5?

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单